Elliptic curve isogeny class data - 29400.i

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• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, 0, -4, -2, 2, 4, 0, -10, 0, -6, 6, 4, -8, -6, 4, 10, -4, -16, -14, 8, -4, -10, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 29400, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '29400.i', 'trace_hash': 2019520442351141508}
• lmfdb_iso 29400.i does not appear in ec_padic
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 195657
    {'Ciso': '29400r', 'Clabel': '29400r6', 'Cnumber': 6, 'abc_quality': 0.9945848677395916, 'absD': 6051657497760000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -12838408, 17709656812], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29400, 'degree': 1179648, 'elladic_images': ['8.24.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7105891045233828846742923918', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62161150998242, 1607445], 'lmfdb_iso': '29400.i', 'lmfdb_label': '29400.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10480, -409460], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '40.48.0-40.bp.1.11', '48.48.0-48.e.1.4', '56.48.0-56.bu.2.10', '140.12.0.?', '240.96.0.?', '280.96.0.?', '336.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 9800], [5, 18, 1176], [7, 32, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29753015826539284452210690879', 'prec': 103}, 'szpiro_ratio': 5.901344572377589, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 195655
    {'Ciso': '29400r', 'Clabel': '29400r4', 'Cnumber': 4, 'abc_quality': 0.9425087047318286, 'absD': 9152198067600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -833408, 254386812], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29400, 'degree': 589824, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3640155142434102299656763311', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [34008619684, 4862025], 'lmfdb_iso': '29400.i', 'lmfdb_label': '29400.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -680, -5700], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '24.48.0-24.i.2.25', '40.48.0-40.e.1.15', '56.48.0-56.h.2.29', '120.96.0.?', '140.24.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 9800], [5, 18, 1176], [7, 32, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0087188330320822989315935248829', 'prec': 110}, 'szpiro_ratio': 5.103966979691796, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 195653
    {'Ciso': '29400r', 'Clabel': '29400r2', 'Cnumber': 2, 'abc_quality': 0.9000658191294795, 'absD': 129708022500000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -220908, -35938188], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29400, 'degree': 294912, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0174419239634375752570602703', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533446736, 275625], 'lmfdb_iso': '29400.i', 'lmfdb_label': '29400.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -180, 900], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '24.48.0-24.i.1.11', '40.48.0-40.l.1.14', '56.48.0-56.h.1.8', '60.24.0-4.b.1.2', '84.24.0.?', '120.96.0.?', '140.24.0.?', '168.96.0.?', '280.96.0.?', '420.48.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 9800], [5, 18, 1176], [7, 32, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22233022715456613754081718234', 'prec': 107}, 'szpiro_ratio': 4.716813275893006, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 195652
    {'Ciso': '29400r', 'Clabel': '29400r1', 'Cnumber': 1, 'abc_quality': 0.9605836908258326, 'absD': 15441431250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -214783, -38241188], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29400, 'degree': 147456, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6708683336834649205484442096', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [37256083456, 525], 'lmfdb_iso': '29400.i', 'lmfdb_label': '29400.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 952], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '42.6.0.a.1', '48.48.0-48.e.2.12', '60.12.0-4.c.1.2', '80.48.0.?', '84.12.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '420.24.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 9800], [5, 18, 1176], [7, 32, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33785475724789035577702253589', 'prec': 107}, 'szpiro_ratio': 4.708614592990907, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 195654
    {'Ciso': '29400r', 'Clabel': '29400r3', 'Cnumber': 3, 'abc_quality': 0.9617149979611352, 'absD': 15441431250000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 293592, -178969188], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29400, 'degree': 589824, 'elladic_images': ['16.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3640155142434102299656763311', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1486779836, 8203125], 'lmfdb_iso': '29400.i', 'lmfdb_label': '29400.i5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 240, 4092], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.2', '24.24.0.bz.2', '40.24.0-8.n.1.7', '48.48.0-24.bz.2.6', '56.24.0.bu.1', '60.12.0-4.c.1.1', '80.48.0.?', '84.12.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '420.24.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 9800], [5, 18, 1176], [7, 32, 600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0087188330320822989315935248829', 'prec': 110}, 'szpiro_ratio': 5.008139984168544, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 195656
    {'Ciso': '29400r', 'Clabel': '29400r5', 'Cnumber': 5, 'abc_quality': 0.9884224063998598, 'absD': 976641224902560000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 1371592, 1370116812], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29400, 'degree': 1179648, 'elladic_images': ['16.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7105891045233828846742923918', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75798394558, 259416045], 'lmfdb_iso': '29400.i', 'lmfdb_label': '29400.i6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1120, -32340], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.4', '24.24.0.bz.1', '40.24.0.bl.1', '48.48.0-24.bz.1.8', '56.24.0-8.n.1.11', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 9800], [5, 18, 1176], [7, 32, 600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29753015826539284452210690879', 'prec': 103}, 'szpiro_ratio': 5.403973926630947, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}